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Finding the Third Proportional to 21,305.25 and 31,876.88

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Solution

The third proportional to 21,305.25 and 31,876.88 is: 47,694.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,305.25 : 31,876.88 = 31,876.88 : x
  2. Step 2: Convert to fraction form
    21,305.25/31,876.88 = 31,876.88/x
  3. Step 3: Cross multiply
    21,305.25x = 31,876.88 × 31,876.88
  4. Step 4: Simplify right side
    21,305.25x = 1,016,135,159.77
  5. Step 5: Solve for x
    x = 1,016,135,159.77/21,305.25
  6. Step 6: Final answer
    x = 47,694.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.